Answer :
9
Explanation :
The expression above signifies the Permutation expression
Permutation expression is given as nPr
The Permutation expression is calculated as:
nPr = P(n, r) = n! / (n - r)!
It the above question, we were asked to evaluate the expression 9P1
From the above question, we can see that:
n = 9 and r = 1
Therefore, the expression
9P1 = 9! / ( 9 - 1) !
9P1 = 9! / 8!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880 /40320
= 9
Therefore, the evaluation of the expression 9P1 = 9
Knowing how to write two-column geometry proofs provides a solid basis for working with theorems. Practicing these strategies will help you write geometry proofs easily in no time:
Make a game plan. Try to figure out how to get from the givens to the prove conclusion with a plain English, commonsense argument before you worry about how to write the formal, two-column proof.
Look up how to do geometry proofs and the first thing that should pop up if your on google should be a site called dummies.com
.0029 see picture below for step by step explanation.
Answer:
2340 mm
Step-by-step explanation:
We know that since the rectangular prism has a square base, the length and width are equal
So we have V = 10 * 10 * 15
For the small rectangular slab we can subtract 10 from 40 to get 30 for the length
Thus we have V = 30 * 4 * 7
Hope this helps
<h3>
Answer: 5</h3>
Explanation:
Plug z = 9 into the second equation and solve for x.
x/z = 2/3
x/9 = 2/3
x = 9*(2/3)
x = 18/3
x = 6
This leads to
xy = 30
y = 30/x
y = 30/6
y = 5